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100201020320 = 25510322972647
BaseRepresentation
bin101110101010001110…
…0100011101110100000
3100120122011220020021202
41131110130203232200
53120202430122240
6114010503340332
710145034422402
oct1352434435640
9316564806252
10100201020320
11395499556a5
12175051516a8
1395ab36328b
144bc7a2ab72
152916be6315
hex1754723ba0

100201020320 has 96 divisors (see below), whose sum is σ = 239217608448. Its totient is φ = 39659010048.

The previous prime is 100201020307. The next prime is 100201020377. The reversal of 100201020320 is 23020102001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37853237 + ... + 37855883.

It is an arithmetic number, because the mean of its divisors is an integer number (2491850088).

Almost surely, 2100201020320 is an apocalyptic number.

100201020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119608804224).

100201020320 is an abundant number, since it is smaller than the sum of its proper divisors (139016588128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100201020320 is a wasteful number, since it uses less digits than its factorization.

100201020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100201020320 its reverse (23020102001), we get a palindrome (123221122321).

The spelling of 100201020320 in words is "one hundred billion, two hundred one million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1030 1648 2060 2297 2647 3296 4120 4594 5294 8240 9188 10588 11485 13235 16480 18376 21176 22970 26470 36752 42352 45940 52940 73504 84704 91880 105880 183760 211760 236591 272641 367520 423520 473182 545282 946364 1090564 1182955 1363205 1892728 2181128 2365910 2726410 3785456 4362256 4731820 5452820 6080159 7570912 8724512 9463640 10905640 12160318 18927280 21811280 24320636 30400795 37854560 43622560 48641272 60801590 97282544 121603180 194565088 243206360 486412720 626256377 972825440 1252512754 2505025508 3131281885 5010051016 6262563770 10020102032 12525127540 20040204064 25050255080 50100510160 100201020320